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Finding the Fourth Proportional to 291,612, 402,424.56 and 157,476

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Solution

The fourth proportional to 291,612, 402,424.56 and 157,476 is: 217,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612 : 402,424.56 = 157,476 : x
  2. Step 2: Convert to fraction form
    291,612/402,424.56 = 157,476/x
  3. Step 3: Cross multiply
    291,612x = 402,424.56 × 157,476
  4. Step 4: Simplify right side
    291,612x = 63,372,210,010.56
  5. Step 5: Solve for x
    x = 63,372,210,010.56/291,612
  6. Step 6: Final answer
    x = 217,316.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.